If frequency F, velocity V, and density D are considered fundamental units, the dimensional formula for momemtum will be
The dimensions of the formula of capacitance are
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What are the dimensions of gas constant?
The position x of a particle at time t is given by where V0 is constant and a > 0. The dimensions of V0 and a are
The time dependence of a physical quantity P is given by , where α is a constant and t is time.Then constant α is
The frequency f of vibrations of mass m suspended from a spring of spring constant k is given by f = Cmxky, where C is a dimensionless constant. The values of x and y are, respectively,
Write the dimensions of a/b in the relation , where P is the pressure, x is the distance, and t is the time.
Write the dimensions of a×b in the relation , where E is the energy, x is the displacement, and t is time.
In the relation , where the letters have their usual meanings, the dimensions of V are
Dimensional analysis cannot be used for :
The dimensions of = permittivity of free space and E = electric field) are :
The vander Waals' equation for a gas is :
Where P,V,R,T and n represent the pressure, volume, universal gas constant, absolute temperature and the number of moles of a gas, respectively, 'a' and 'b' are the constants. The ratio b/a will have the following
A gas bubble from an explosion under water oscillates with a period proportional to PadbEc where P is the static pressure, d is the density of water and E is the energy of explosion. Then a,b and c are :
The quantity X is given by is the permitivity of free space, L is a length, ΔV is a potential difference and Δt is a time interval. The dimensional formula for X is same as that of :
Dimensions of , where symbols have their usual meanings, are :
Which one of the following represents the correct dimensions of the coefficient of viscosity?
Planck's constant has the dimenstions of :
Dimensions of impulse are same as that of :
The dimensions of velocity gradient are :
The dimensional formula for surface tension is :